For the random variables below, indicate whether you would expect the distributi
ID: 3045369 • Letter: F
Question
For the random variables below, indicate whether you would expect the distribution to be best described as geometric, binomial, Poisson, exponential, uniform, or normal. For each item, give a brief explanation of your answer. A one-sentence explanation should be sufficient.
The number of days in the next month that the first Daily 4 number drawn in the California State Lottery is a 6. (Each day, this number is equally likely to be any of the 10 digits.)
The time of day that the next major earthquake occurs in Southern California.
The number of free throws that a basketball player attempts until she misses one.
The number of phone calls that a store manager gets in the next hour.
The number of minutes that the store manager is waiting before her next phone call.
The number of people, out of the next 20 people who die in San Diego county, who are over age 85.
The amount of time before the next house fire in San Diego county.
Explanation / Answer
Q.1 The number of days in the next month that the first Daily 4 number drawn in the California State Lottery is a 6.
Answer : as here n and p are predecided as n = 30 and p = 0.1 so this is binomial distriubtion.
Q.2 The time of day that the next major earthquake occurs in Southern California.
Answer : The distribution is Uniform distribution as it can happen any time in the given day.
Q.3 The number of free throws that a basketball player attempts until she misses one.
Answer : Geometric Distribution as first success occur after n number of unsuccessful attempts.
Q.4 The number of phone calls that a store manager gets in the next hour.
Answer ; Poisson Distribution as there is poisson rate of success.
Q.5 The number of minutes that the store manager is waiting before her next phone call.
Answer : The distriubtion is exponential distribution as it is exponential distribution to wait before he next phone call.
Q.6 The number of people, out of the next 20 people who die in San Diego county, who are over age 85.
Answer : THe distribution is binomial distribution where n = 20 and p = proportion of age 85 student.
Q.7 The amount of time before the next house fire in San Diego county.
Answer : Here the distribution is exponential as there will be fix number of houses in San diego county.
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